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Regular Circle Actions on 2-connected 7-manifolds

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arxiv 1302.0923 v3 pith:U6RPHJQK submitted 2013-02-05 math.AT

classification math.AT
keywords actionscircleconnectedmanifoldsregularrespsmoothadmit
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We determine the homeomorphism (resp. diffeomorphism) types of those 2-connected 7-manifolds (resp. smooth 2-connected 7-manifolds) that admit regular circle actions (resp. smooth regular circle actions).

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Cited by 2 Pith papers

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  1. Flows of geometric structures II

    math.DG 2026-07 accept novelty 7.0 of 10

    The unrestricted negative-gradient flow of SU(m)-structures and Ricci-harmonic H-flows are short-time well-posed, with Shi-type estimates and a U(m) border-line obstruction.

  2. Asymptotically Z-stable bundles over projective surfaces

    math.AG 2026-04 unverdicted novelty 6.0 of 10

    A new extension-based construction produces strictly asymptotically Z-stable rank 3 bundles on polycyclic projective surfaces, plus a Hoppe-style criterion for rank 2 bundles.

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